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Some recent results on evaluating Feynman integrals are reviewed. The status of the method based on Mellin-Barnes representation as a powerful tool to evaluate individual Feynman integrals is characterized. A new method based on Groebner…

高能物理 - 唯象学 · 物理学 2009-11-11 V. A. Smirnov

Using dispersive techniques, it is possible to avoid ultraviolet divergences in the calculation of Feynman diagrams, making subsequent regularization of divergent diagrams unnecessary. We give a simple introduction to the most important…

高能物理 - 理论 · 物理学 2009-11-10 Andreas Aste , Dirk Trautmann

A new kind of cut diagram is introduced to sum Feynman diagrams with nonabelian vertices. Unlike the Cutkosky diagrams which compute the discontinuity of single Feynman diagrams, the nonabelian cut diagrams represent a resummation of both…

高能物理 - 唯象学 · 物理学 2007-05-23 C. S. Lam

We present a general formalism for simplifying manipulations of spin indices of massless and massive spinors and vectors in Feynman diagrams. The formalism is based on covariantly reducing the number of field components in the action in…

高能物理 - 唯象学 · 物理学 2009-10-30 G. Chalmers , W. Siegel

In this tutorial paper, we provide an introduction to the briskly expanding research field of Majorana fermions in topological superconductors. We discuss several aspects of topological superconductivity and the advantages it brings to…

We describe the FeynEdit tool for drawing Feynman diagrams. Input and output is done using the LaTeX macros of FeynArts, which also implies that diagrams drawn by FeynArts can be edited with FeynEdit. The LaTeX code can be conveniently…

高能物理 - 唯象学 · 物理学 2008-11-26 T. Hahn , P. Lang

We describe packages for the calculation of radiative corrections to two-fermion production at colliders. The packages use DIANA, and also QGRAF, FORM, Fortran, and further unix/linux tools. The one-loop calculations in the Standard Model…

高能物理 - 唯象学 · 物理学 2009-11-10 J. Gluza , A. Lorca , T. Riemann

We propose the extension of the position space approach to Feynman integrals from the banana family to generic Feynman diagrams. Our approach is based on getting rid of integration in position space and then writing differential equations…

高能物理 - 理论 · 物理学 2024-08-01 V. Mishnyakov , A. Morozov , M. Reva

Complex-valued Feynman integrals in the imaginary time formalism and zero-temperature limit suffer from particular types of infrared divergences that can not be regulated by integration dimension alone. Related problems leading to…

高能物理 - 理论 · 物理学 2025-11-26 Mika Nurmela , Juuso Österman

Feynman diagrams constitute one of the essential ingredients for making precision predictions for collider experiments. Yet, while the simplest Feynman diagrams can be evaluated in terms of multiple polylogarithms -- whose properties as…

The parametric representation has been used since a long time for the evaluation of Feynman diagrams. As a dimension independent intermediate representation, it allows a clear description of singularities. Recently, it has become a choice…

高能物理 - 唯象学 · 物理学 2025-02-07 Marc P. Bellon

We present the Feynman integral reduction program Kira 1.2 and describe its new features and other changes w.r.t. the previous versions. The main new features include a much faster equation generator, more flexible seed specification…

高能物理 - 唯象学 · 物理学 2018-12-05 Philipp Maierhöfer , Johann Usovitsch

We test the Sinc function representation, a novel method for numerically evaluating Feynman diagrams, by using it to evaluate the three-loop master diagrams. Analytical results have been obtained for all these diagrams, and we find…

高能物理 - 唯象学 · 物理学 2009-10-31 Richard Easther , Gerald Guralnik , Stephen Hahn

Majorana fermion dynamics may arise at the edge of Kitaev wires or superconductors. Alternatively, it can be engineered by using trapped ions or ultracold atoms in an optical lattice as quantum simulators. This motivates the theoretical…

高能物理 - 理论 · 物理学 2017-03-15 M. H. Al-Hashimi , A. M. Shalaby , U. -J. Wiese

Diagrammatic approaches to perturbation theory transformed the practicability of calculations in particle physics. In the case of extended theories of gravity, however, obtaining the relevant diagrammatic rules is non-trivial: we must…

高能物理 - 唯象学 · 物理学 2024-10-22 Andrei Lazanu , Peter Millington , Sergio Sevillano Muñoz

We review the hypergeometric function approach to Feynman diagrams. Special consideration is given to the construction of the Laurent expansion. As an illustration, we describe a collection of physically important one-loop vertex diagrams…

高能物理 - 理论 · 物理学 2008-11-01 M. Yu. Kalmykov , Bernd A. Kniehl , B. F. L. Ward , S. A. Yost

It is argued that quantum propagation of D-particles in the limit \alpha'-> 0 can represent the "joining-splitting" processes of Feynman graphs of a certain field theory in the light-cone frame. So basically it provides the possibility to…

高能物理 - 理论 · 物理学 2007-05-23 Amir H. Fatollahi

In this talk, we describe part of our recent work \cite{FGdeR05} (see also \cite{F05,G05}) that gives new results in the context of asymptotic expansions of Feynman diagrams using the Mellin-Barnes representation.

高能物理 - 唯象学 · 物理学 2007-05-23 Samuel Friot , David Greynat

In recent years, significant advances have been made in the design and analysis of fully dynamic algorithms. However, these theoretical results have received very little attention from the practical perspective. Few of the algorithms are…

数据结构与算法 · 计算机科学 2022-11-21 Kathrin Hanauer , Monika Henzinger , Christian Schulz